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Finding the Fourth Proportional to 2,127.30, 3,190.95 and 2,005.80

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Solution

The fourth proportional to 2,127.30, 3,190.95 and 2,005.80 is: 3,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.30 : 3,190.95 = 2,005.80 : x
  2. Step 2: Convert to fraction form
    2,127.30/3,190.95 = 2,005.80/x
  3. Step 3: Cross multiply
    2,127.30x = 3,190.95 × 2,005.80
  4. Step 4: Simplify right side
    2,127.30x = 6,400,407.51
  5. Step 5: Solve for x
    x = 6,400,407.51/2,127.30
  6. Step 6: Final answer
    x = 3,008.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.